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The Photogravitational Elliptical Restricted Three Body Problem models the intricate motion of a small body under the combined influence of gravitational forces and solar radiation pressure from two larger, orbiting primary bodies, specifically considering their elliptical trajectories. This complex astrophysical scenario is vital for understanding spacecraft dynamics, solar sail missions, and orbital stability in systems where light pressure significantly impacts movement, offering critical insights into mission planning and celestial mechanics.

This area of study focuses on the intricate process of generating and characterizing families of solutions within the Restricted Three-Body Problem (R3BP). These orbital families represent stable and unstable trajectories for a small object influenced by two massive bodies, providing fundamental insights into celestial mechanics, dynamical systems, and the design of efficient space missions.